Use the distributive property to expand the expression. −(3x2 + 4y) + (8z2 − 2) A) −3x2 + 4y + 8z2 − 2 B) −3x2 − 4y − 8z2 + 2 C) −3x2 − 4y + 8z2 − 2 D) −3x2 − 4y − 8z2 − 2
Which expression is equivalent? (35 pts)
−3(5x + 8) − 7(5x + 3)
A) 50x + 45
B) 50x − 45
C) −50x + 45
D) −50x − 45
Answer:
-50x-45
Step-by-step explanation:
The solution of the given expression is -50x - 45. The correct option is D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is −3(5x + 8) − 7(5x + 3). The given expression will be solved as below,
E = −3(5x + 8) − 7(5x + 3)
E = -15x - 24 - 35x -21
E = -50x - 45
Therefore, the solution of the given expression is -50x - 45. The correct option is D.
To know more about expression follow
https://brainly.com/question/723406
#SPJ2
HELP ME PLEASE!!!!!!
Tracy needs to find the length and width of the equipment storage room where she works. The room is 3 meters longer than it is wide. Its perimeter is 18 meters. Find the width in meters
You make 3 batches of cookies to make bags for a sale. You put 5 cookies in each bag. Given 14(5)+2=3(24). What do the terms represent? Please help!!
What is the quotient of 6,559 and 21 ?
Trygg has 3/4 package of marigold seeds. He plants 1/6 of those seeds in his garden as and divides the rest equally into 10 flower pots. What fractionof a package of seeds is planted in each flowerpot?
We are required to find the fraction of a package of seeds is planted in each flowerpot.
The fraction of a package of seeds planted in each flowerpot is 7/120
Given:
Total package of seed = 3/4
Quantity of seeds planted in his garden = 1/6
Quantity of seed remaining = Total package of seed - Quantity of seeds planted in his garden
= 3/4 - 1/6
= (18 - 4) /24
= 14 / 24
Quantity of seed remaining = 7 / 12
Number of flowerpots = 10fractionof a package of seeds is planted in each flowerpot = Quantity of seed remaining ÷ Number of flowerpots
= 7/12 ÷ 10/1
= 7/12 × 1/10
= (7 × 1) / (12 × 10)
= 7/120
Therefore, the fraction of a package of seeds planted in each flowerpot is 7/120
Read more:
https://brainly.com/question/2261275
A sales representative earns a 2.5% commission on sales. Find the commission earned when the total sales are $80,700.
To find the commission earned by a sales representative, multiply the total sales by the commission rate of 2.5%. For total sales of $80,700, the commission earned would be $2,017.50.
Explanation:To find the commission earned by a sales representative, we need to multiply the total sales by the commission rate.
In this case, the total sales are $80,700 and the commission rate is 2.5%.
So, the commission earned can be calculated as:
$80,700 x 0.025 = $2,017.50
Therefore, the sales representative will earn a commission of $2,017.50.
Which souvenirs cost less than $2.25 per item?
Check all that apply.
tote bags: 25 for $49.00
picture frames: 15 for $32.25
water bottles: 12 for $27.60
mugs: 8 for $15.92
T-shirts: 10 for $25.00
Answer:
tote bags, picture frames, and mugs
Step-by-step explanation:
Which graph represents the solution set of the system of inequalities?
{ y < -3x - 2
{ y ≤ x - 2
The common shaded region of the given inequality is given by figure 3 with yellow color.
What is an inequality and how to graph it ?An inequality is a statement that compares two expressions we can solve an inequality by adding same number to both sides or by subtracting same number from both side.
To graph the inequality
Replace the sign of the inequality with equal to sign.Graph the equation made with equal to line.If the point (x, y) satisfies the inequality then check whether the inequality is satisfied on that point or not.Shade the region on that side of line where any point satisfies the equation if not shade the opposite side of region.if the sign of inequality is < ,> with equal to gin then make the line dotted for respective equality otherwise a solid line.Given inequalities are :
y < -3x -2
y ≤ x-2
For y < -3x-2 consider the equality y = -3x -2
Put x =0 ⇒ y = -2 , ( 0, -2)
Put y = 0 , x = -2/3, ( -2/3 , 0)
∴ y = -3x -2 is the line passing through the points ( 0, -2) and ( -2/3 , 0)
⇒ Put (0,0) in y<-3x-2 ⇒ 0 < -3(0) -2 ⇒0 < -2 which is false
Therefore , the inequality y<-3x-2 is the shaded region shown in figure 1
Similarly for inequality y ≤ x - 2 , Consider y = x - 2
Put x = 0 ⇒ y =-2, (0,-2)
Put y=0 ⇒ x =2 , (2,0), thus y = x - 2 is the line passing through (2,0) and (0,-2)
Put (0,0) in y ≤ x - 2⇒ 0 ≤ -2 , which is false
therefore the region of this inequality is as shown in figure 2.
The common shaded area is given by yellow color figure 3 .
Also, Learn more about the inequalities from the link below:
brainly.com/question/11612965
#SPJ2
What is the greatest common of 48 and 14
Brad has $1.65. He spends 75 cents to buy a card. How much change does he get back ?
Final answer:
After purchasing a card for 75 cents, Brad receives 90 cents back in change from his initial $1.65.
Explanation:
The student's question is about calculating change returned after a purchase, which is a basic arithmetic problem. Brad starts with $1.65 and spends 75 cents on a card. To find out how much change Brad gets back, we subtract the cost of the card from the amount Brad started with.
$1.65 - $0.75 = $0.90
Therefore, Brad gets 90 cents back in change after buying the card.
Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80! Write an equation to determine the normal price of each cookie. Find the normal price of each cookie.
Answer:
The price of each cookie is $ 1.15.
Step-by-step explanation:
Let x be the normal price of each cookie,
Since, each cookie costs $0.75 less than the normal price,
Thus, the new price of each cookie = ( x - 0.75 ) dollars,
So, the price of 7 cookies = 7( x-0.75 ) dollars
According to the question,
The price of 7 cookies = $ 2.80
⇒ 7( x-0.75 ) = 2.80
Which is the required equation to determine the normal price of each cookies,
For solving the above equation,
Divides both sides by 7,
x - 0.75 = 0.4
Adding 0.75 on both sides,
x = 1.15
Hence, the price of each cookie is $ 1.15.
help me please below........
On the football team, two out of every seven players are seniors. If the team has 84 players, how many of the players are not seniors?
Answer: 60
Step-by-step explanation:
Given : The fraction of football players are senior = [tex]\dfrac{2}{7}[/tex]
If the team has 84 players, then by using the MULTIPLICATION OPERATION, we have
The number of players are senior = [tex]\dfrac{2}{7}\times84=24[/tex]
Then by using Subtraction operation , the number of players are not seniors =84-24=60
4/5(2x+5)−4=1
x = 1 1/4
x = 1 2/5
x = 5/8
x = 3 1/5
(01.02 MC)Maya is showing her work in simplifying (5.2 − 4.5) − 5.5 + 4.8. Identify any error in her work or reasoning. Step 1: (5.2 − 4.5) − 5.5 + 4.8 Step 2: 5.2 + (− 4.5 − 5.5) + 4.8 (identity property) Step 3: 5.2 − 10 + 4.8 Step 4: 5.2 + 4.8 − 10 (commutative property) Step 5: 10 − 10 = 0
She wrote identity instead of commutative in Step 2.
She wrote commutative instead of distributive in Step 4.
She wrote identity instead of associative in Step 2.
She wrote commutative instead of associative in Step 4.
In her work, Maya misidentified the associative property as the identity property in step 2 and the commutative property in step 4.
Explanation:The question pertains to the simplification of the given expression: (5.2 − 4.5) − 5.5 + 4.8. The error lies in Maya's interpretation of the mathematical properties used in the simplification process. In Step 2, she has referred to the rearrangement of minus signs as the result of the 'identity property'. However, this should be the 'associative property' which allows the grouping of numbers to be changed. In Step 4, she refers to her re-ordering of the addition and subtraction as the 'commutative property'. However, it should be 'associative property' as it allows changing of grouping but the order within groups must be maintained.
Learn more about Mathematical Properties here:https://brainly.com/question/13518455
#SPJ11
find the slope of a line parallel to 3x+5y=15
Answer:
A. [tex]-\frac{3}{5}[/tex].
Step-by-step explanation:
We have been given equation of a line [tex]3x+5y=15[/tex]. We are asked to find the slope of a parallel line to our given line.
We know that slopes of parallel lines are equal, so slope of the parallel line will be equal to slope of our given line.
To find the slope of our given line, we will convert our given equation in slope-intercept form of equation [tex]y=mx+b[/tex], where m represents slope of line.
First of all, we will subtract 3x from both sides of our given equation as:
[tex]3x-3x+5y=15-3x[/tex]
[tex]5y=-3x+15[/tex]
Now, we will divide both sides by 5.
[tex]\frac{5y}{5}=\frac{-3x+15}{5}[/tex]
[tex]y=\frac{-3x}{5}+\frac{15}{5}[/tex]
[tex]y=-\frac{3x}{5}+3[/tex]
Upon comparing our equation with slope-intercept form, we can see that [tex]m=-\frac{3}{5}[/tex] and option A is the correct choice.
How many 1/2 miles are in 12 miles corresponding division expression
isaiah wrote this problem in his notebook. Using the Vocabulary boxes,label the parts of the division problem. then, using the vocabulary, explain how isaiah can check whether his quotient is correct. quotient, divisor, dividend
Answer:
9 is divisor, 648 is dividend and 72 is the quotient.
Isaiah can check his work by multiplying divisor(9) and quotient (648). If quotient is correct the product will be equal to dividend.
Step-by-step explanation:
Consider the provided information.
A number by which another number is to be divided is called divisor.
A number which is divided by another number is called dividend.
A result obtained by dividing one number by another is called quotient.
Here 9 is the number which divide 648.
Therefore, 9 is divisor.
648 is the number which is divided by 9.
Therefore, 648 is dividend.
The result obtained by dividing 648 by 9 is 72.
Therefore, 72 is the quotient.
Isaiah can check his work by multiplying divisor(9) and quotient (648). If quotient is correct the product will be equal to dividend.
Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain what that ratio meant. Kym said it meant that 25% of the students in the cafeteria were boys. Explain why Kym is incorrect.
Answer:
Sample Response: The ratio of boys to total students was 25:50. Written as a fraction, this is 25/50. Rewrite the fraction with a denominator of 100 to 50/100. So 50% of the students were boys.
Step-by-step explanation:
19.18,23,23,31,32,16 all of the questions use these numbers except for the last one
in which stem does most of the data fall?
A 1
B 2
C 3 or
D 4
next question
steams leaves
.
1 | 1 1 2 3 4 5
. 2 | 2 3 4 4 7
. 3 | 2 5 7 9
what is the median?
A 24
B 28
C 22
D 23
A tractor tire makes one complete rotation every 14.3 seconds. How long does it take the tire to complete 4.25 rotations? Enter your answer in the box.
Answer:
60.775 seconds
Step-by-step explanation:
Hello, you can solve this using a simple rule of three
Step 1
let
A tractor tire makes one complete rotation every 14.3 seconds,it is
1 rotation ⇒ 14.3 seconds
How long does it take the tire to complete 4.25 rotations?,it is
4.25 rotations ⇒ x seconds
Step 2
if
1 rotation ⇒ 14.3 seconds
4.25 rotations ⇒ x seconds
the relation is
[tex]\frac{1}{14.3}=\frac{4.25}{x}\\ isolate \ x \\\frac{x}{14.3}=4.25\\x=4.25*14.3\\x=60.775\ seconds[/tex]
Have a great day
Chaz rides 1/3 mile every 1/6 hour. How far does he ride in 1 hour?
Steven earns extra money babysitting. He charges $23.25 for 3 hours and $54.25 for 7 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he changes.
If b = 9 cm, c = 7 cm, and m∠A = 66°, what is the approximate area of ABC?
A) 28.78 cm2
B) 12.81 cm2
C) 14.62 cm2
D) 57.55 cm2
Thank you!
You earn $7.80 an hour working as a dog sitter. You work 12.5 hours during the weekend. How much money do you make?
need help on #15 please
how do you know if two line segments are parallel
PLEASE HELP AND ANSWER BOTH QUESTIONS
State the value of m and the value of b!
A. F(x):m= , b=
B. G(x): m= , b =
C. H(x): m = , b=